341. A number is increased by 20% and then decreased by 20%. Find the net increase or decrease percent.
- A. Increased by 4%
- B. Does not changes
- C. None
- D. Decreased by 4%
Check answer and explanation
Answer: Decreased by 4%
Explanation Given: Increment in number = 20% of the number Decrement in number = 20% of the new number Concept used: Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100 Calculation: Let the original number be 100 When the number is increased by 20% New Number = 100 + 20% of 100 ⇒ 100 + 20 ⇒ 120 Now, the number is decreased by 20% Final number = New number – 20% of new number ⇒ 120 – 20% of 120 ⇒ 120 – 24 ⇒ 96 ∴ Net Decrease in percentage = { (100 – 96) / 100} × 100 ⇒ {4/100} × 100 ⇒ 4% ∴ The net decrease percentage is 4%